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Finding the Fourth Proportional to 450.82, 672.76 and 398.87

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Solution

The fourth proportional to 450.82, 672.76 and 398.87 is: 595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.82 : 672.76 = 398.87 : x
  2. Step 2: Convert to fraction form
    450.82/672.76 = 398.87/x
  3. Step 3: Cross multiply
    450.82x = 672.76 × 398.87
  4. Step 4: Simplify right side
    450.82x = 268,344.98
  5. Step 5: Solve for x
    x = 268,344.98/450.82
  6. Step 6: Final answer
    x = 595.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.